Sissa's Legend & Powers of 10 - Educational Journey

v1.4 Update: Accessibility & Smart Linking

This version introduces full ARIA (Accessible Rich Internet Applications) support for screen readers and a dynamic documentation system that automatically matches the user's selected language.

1. The Mathematical Legend

The core of the experience is based on the geometric progression of doubling grains of wheat on a 64-square chessboard.

\[ G_n = 2^{n-1} \]

Where \( G_n \) is the number of grains on square \( n \). The total sum \( S \) is:

\[ S = \sum_{i=0}^{63} 2^i = 2^{64} - 1 \]

2. Powers of 10: Macro & Micro

2.1 Macro Scale (The Universe)

We use the wheat as a proxy for mass and volume. By the 64th square, the number of grains reaches:

\[ 18,446,744,073,709,551,615 \]

2.2 Micro Scale (The Atom)

Starting from a grain of rice (approx. 5mm), we apply negative powers of 10 to explore subatomic structures:

\[ L_n = 0.005 \times 2^{-n} \]

3. Technical Implementation

BigInt Precision: Handles massive integers without losing precision.
ARIA Compliance: Uses aria-live for real-time counter updates.
Multilingual Engine: UI strings loaded from en.json and it.json.

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